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master's thesis
Rekurzivne multifunkcije
Zagreb: University of Zagreb, Faculty of Science, 2015. urn:nbn:hr:217:088821
Baltić, Elvir
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Baltić, E. (2015). Rekurzivne multifunkcije (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:088821

Baltić, Elvir. "Rekurzivne multifunkcije." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:088821

Baltić, Elvir. "Rekurzivne multifunkcije." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:088821

Baltić, E. (2015). 'Rekurzivne multifunkcije', Master's thesis, University of Zagreb, Faculty of Science, accessed 28 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:088821

Baltić E. Rekurzivne multifunkcije [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2015 [cited 2024 December 28] Available at: https://urn.nsk.hr/urn:nbn:hr:217:088821

E. Baltić, "Rekurzivne multifunkcije", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2015. Available at: https://urn.nsk.hr/urn:nbn:hr:217:088821

Metadata
TitleRekurzivne multifunkcije
AuthorElvir Baltić
MentorZvonko Iljazović (mentor)
Committee memberZvonko Iljazović (predsjednik povjerenstva)
Committee memberMladen Vuković (član povjerenstva)
Committee memberRobert Manger (član povjerenstva)
Committee memberDamir Bakić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2015-07-13, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U prvom poglavlju proučavaju se primitvno rekurzivne funkcije i njihova svojstva te se ujedno dokazuje rekurzivnost nekih poznatih uobičajenih funkcija. U drugom poglavlju uvodi se pojam rekurzivnih funkcija \(\mathbb{N}^k \to \mathbb{N}\) te se dokazuju neke činjenice vezane za te funkcije koje su potrebne u daljnjem dijelu rada. Nadalje, definira se pojam rekurzivnog skupa te se proučavaju neka svojstva takvih skupova. U trećem poglavlju proučavaju se funkcije oblika \(\mathbb{N}^k \to \mathcal{P}(\mathbb{N}^n)\). Za takve funkcije definira se kada su rekurzivne te kada su rekurzivno omeđene. Posebno, proučavaju se tzv. r.r.o. funkcije \(\mathbb{N}^k \to \mathcal{P}(\mathbb{N}^n)\). Navode se neki primjeri takvih funkcija te se dokazuju neki rezultati vezani za takve funkcije.
Abstract (english)
In first chapter we study primitive recursive functions and their properties. We also prove recursivity of some common examples of functions. In second chapter we introduce concept of recursive functions \(\mathbb{N}^k \to \mathbb{N}\) and we prove some facts related to these functions important for further work. In addition we define recursive sets and study their properties. In third chapter we study functions \(\mathbb{N}^k \to \mathcal{P}(\mathbb{N}^n)\). For these functions we define when they are recursive and when they are recursively bounded. Specially, we study so called r.r.b. functions \(\mathbb{N}^k \to \mathcal{P}(\mathbb{N}^n)\). We give examples of such functions and we proove some related results.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:088821
Study programmeTitle: Mathematics Education; specializations in: Mathematics Education
Course: Mathematics Education
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2017-05-10 12:46:55